Solve the boundary-value problem a²u 0х2 + sin(x) u(0, t) = 500, = ди at 0 < x < π, 500, u(π, t) = 100, t> 0 t> 0
Solve the boundary-value problem a²u 0х2 + sin(x) u(0, t) = 500, = ди at 0 < x < π, 500, u(π, t) = 100, t> 0 t> 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Solve the boundary-value problem
a²u
ах2
u(x, t) =
+ sin(x)
||
=
ди
at
u(0, t) = 500, u(π, t) = 100, t> 0
u(x, 0) = 500 + sin(x),
0 < x < π,
X
+
0 < x < π.
∞0
t> 0
n = 1
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